Maths-
General
Easy

Question

The points open parentheses 0 comma 8 over 3 close parentheses comma left parenthesis 1 comma 3 right parenthesis and (82, 30) are vertices of

  1. an obtuse – angled Δ
  2. an acute – angled Δ
  3. a right – angled Δ
  4. none of these

The correct answer is: none of these


    Here we have given 3 vertices.
    A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is
    m = change in y/change in x = Δy/Δx
    where “m” is the slope of a line.
    The slope of the line can also be represented by
    tan θ = Δy/Δx
    Slope, m = Change in y-coordinates/Change in x-coordinates
    m = (y2 – y1)/(x2 – x1)
    Here we will use the same formula to find the slope. If slope matches, then its not a triangle.
    L e t space A left parenthesis x 1 comma y 1 right parenthesis space equals space left parenthesis 0 comma space 8 divided by 3 right parenthesis comma space B left parenthesis x 2 comma y 2 right parenthesis space equals space left parenthesis 1 comma 3 right parenthesis comma space C left parenthesis x 3 comma y 3 right parenthesis space equals space left parenthesis 82 comma 30 right parenthesis.
S l o p e space o f space A B space i s colon space fraction numerator 3 space minus space left parenthesis begin display style 8 over 3 end style right parenthesis space over denominator 1 minus 0 end fraction
S l o p e space o f space A B space i s colon 1 third
S l o p e space o f space B C space i s colon space fraction numerator 30 minus 3 over denominator 82 minus 1 end fraction
S l o p e space o f space B C space i s colon space 1 third
S o space t h e space s l o p e s space a r e space s a m e.
T h e n space A comma space B space a n d space C a r e space c o l l i n e a r space a n d space w i l l space n o t space f o r m space t r i a n g l e.

    Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure. A straight line is an endless one-dimensional figure that has no width. Here we have given the points as (0, 8/3), (1, 3) and (82, 30), we have to find these are the vertices of which figure.

    Here we used the concept of slope and slope of a line where we found the slope of the line of side off triangle and found that the slopes of th e lines are same and hence A, B and C were collinear. So it cannot form any triangle and its a straight line on which all the three points are lying.

    Related Questions to study

    General
    chemistry-

    Rate of the reaction is fastest when Z is :

    Rate of the reaction is fastest when Z is :

    chemistry-General
    General
    chemistry-

    Amides undergo hydrolysis to yield carboxylic acid plus amine on heating in either aqueous acid or aqueous base. The conditions required for amide hydrolysis are more severe than those required for the hydrolysis of esters, anhydrides or acid chlorides, but the mechanism is similar (nucleophilic acyl substitution). Nucleophilic acyl substitutions involve a tetrahedral intermediate, hence these are quite different from alkyl substitution open parentheses R C H subscript 2 end subscript B r close open stack ⟶ with N a C N on top R C H subscript 2 end subscript C N close parentheses which involves a pentavalent intermediate or transition state. One of the important reactions of esters is their reaction with two equivalent of Grignard reagent to give tertiary alcohols
    When  is treated with two equivalent of methyl magnesium iodide and the product acidified the final product will be

    Amides undergo hydrolysis to yield carboxylic acid plus amine on heating in either aqueous acid or aqueous base. The conditions required for amide hydrolysis are more severe than those required for the hydrolysis of esters, anhydrides or acid chlorides, but the mechanism is similar (nucleophilic acyl substitution). Nucleophilic acyl substitutions involve a tetrahedral intermediate, hence these are quite different from alkyl substitution open parentheses R C H subscript 2 end subscript B r close open stack ⟶ with N a C N on top R C H subscript 2 end subscript C N close parentheses which involves a pentavalent intermediate or transition state. One of the important reactions of esters is their reaction with two equivalent of Grignard reagent to give tertiary alcohols
    When  is treated with two equivalent of methyl magnesium iodide and the product acidified the final product will be

    chemistry-General
    General
    Maths-

    Write the converse of the statement if x + 2 = 6, then x = 4

    So we have given a statement and we have to find the what is the converse is. A conditional statement that has the antecedent and consequent switched around is known as a converse statement. So the answer is x + 2 = 6 i.e. if x = 4 then 4 + 2 = 6.

    Write the converse of the statement if x + 2 = 6, then x = 4

    Maths-General

    So we have given a statement and we have to find the what is the converse is. A conditional statement that has the antecedent and consequent switched around is known as a converse statement. So the answer is x + 2 = 6 i.e. if x = 4 then 4 + 2 = 6.

    parallel
    General
    Maths-

    The converse of “if in a triangle ABC, AB =AC then straight angle B equals straight angle C to the power of ′′ is

    Converse of “if in a triangle ABC, AB =AC then straight angle B equals straight angle C to the power of ′′   is In a triangle ABC, if  straight angle B equals straight angle C to the power of ′′ then AB = AC.

    The converse of “if in a triangle ABC, AB =AC then straight angle B equals straight angle C to the power of ′′ is

    Maths-General

    Converse of “if in a triangle ABC, AB =AC then straight angle B equals straight angle C to the power of ′′   is In a triangle ABC, if  straight angle B equals straight angle C to the power of ′′ then AB = AC.

    General
    chemistry-

    Ester gives nucleophilic addition reaction followed by elimination reaction with carbon nucleophile. When carbon nucleophile is of an ester then the reaction is known as Claisen condensation reaction. This reaction is also carried out between ester and a ketone. A successful Claisen condensation requires an ester with two a-hydrogens and an equivalent amount of base rather than a catalytic amount of base.
    In the given reaction

    Ester gives nucleophilic addition reaction followed by elimination reaction with carbon nucleophile. When carbon nucleophile is of an ester then the reaction is known as Claisen condensation reaction. This reaction is also carried out between ester and a ketone. A successful Claisen condensation requires an ester with two a-hydrogens and an equivalent amount of base rather than a catalytic amount of base.
    In the given reaction

    chemistry-General
    General
    chemistry-

    Ester gives nucleophilic addition reaction followed by elimination reaction with carbon nucleophile. When carbon nucleophile is of an ester then the reaction is known as Claisen condensation reaction. This reaction is also carried out between ester and a ketone. A successful Claisen condensation requires an ester with two a-hydrogens and an equivalent amount of base rather than a catalytic amount of base.
    In the given reaction :

    Ester gives nucleophilic addition reaction followed by elimination reaction with carbon nucleophile. When carbon nucleophile is of an ester then the reaction is known as Claisen condensation reaction. This reaction is also carried out between ester and a ketone. A successful Claisen condensation requires an ester with two a-hydrogens and an equivalent amount of base rather than a catalytic amount of base.
    In the given reaction :

    chemistry-General
    parallel
    General
    chemistry-

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which of the following compounds will be most easily hydrolysed ?

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which of the following compounds will be most easily hydrolysed ?

    chemistry-General
    General
    chemistry-

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Acid derivatives although contain group, yet do not undergo the usual properties of carbonyl group It is due to:

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Acid derivatives although contain group, yet do not undergo the usual properties of carbonyl group It is due to:

    chemistry-General
    General
    chemistry-

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which among the following ester is most reactive towards nucleophilic attack ?

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which among the following ester is most reactive towards nucleophilic attack ?

    chemistry-General
    parallel
    General
    chemistry-

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which of the most reactive acid derivative?

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which of the most reactive acid derivative?

    chemistry-General
    General
    chemistry-

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which among the following anions is the most basic ?

    The reactivity of acid derivatives in general follows the order :

    The above order of reactivity can be explained in terms of the : (i) Basicity of leaving group (ii) Resonance effect (iii) Inductive effect Weaker is the basic character of leaving group, more is the reactivity of acid derivative. In general, all the acid derivatives show resonance as follows:

    More is the stabilization, lesser is the reactivity and vice-versa.
    Which among the following anions is the most basic ?

    chemistry-General
    General
    chemistry-

    Observe the esterification mechanisms for primary and tertiary alcohols.
    Type.1

    Mechanism

    Type. 2

    Mechanism


    Observe the esterification mechanisms for primary and tertiary alcohols.
    Type.1

    Mechanism

    Type. 2

    Mechanism


    chemistry-General
    parallel
    General
    chemistry-

    Observe the esterification mechanisms for primary and tertiary alcohols.
    Type.1

    Mechanism

    Type. 2

    Mechanism

    C H subscript 3 end subscript minus C O O H plus C subscript 2 end subscript H subscript 5 end subscript stack O with 18 on top H stack ⟶ with text  Conc.  end text H subscript 2 end subscript S O subscript 4 end subscript on top left parenthesis P right parenthesis
    C H subscript 3 end subscript minus C O O H plus open parentheses C H subscript 3 end subscript close parentheses subscript 3 end subscript C minus stack O with 18 on top H stack ⟶ with text  Conc.  end text H subscript 2 end subscript S O subscript 4 end subscript on top open parentheses Q close parentheses
    In the above reaction (P) and (Q) are respectively :

    Observe the esterification mechanisms for primary and tertiary alcohols.
    Type.1

    Mechanism

    Type. 2

    Mechanism

    C H subscript 3 end subscript minus C O O H plus C subscript 2 end subscript H subscript 5 end subscript stack O with 18 on top H stack ⟶ with text  Conc.  end text H subscript 2 end subscript S O subscript 4 end subscript on top left parenthesis P right parenthesis
    C H subscript 3 end subscript minus C O O H plus open parentheses C H subscript 3 end subscript close parentheses subscript 3 end subscript C minus stack O with 18 on top H stack ⟶ with text  Conc.  end text H subscript 2 end subscript S O subscript 4 end subscript on top open parentheses Q close parentheses
    In the above reaction (P) and (Q) are respectively :

    chemistry-General
    General
    chemistry-

    Observe the following sequence of reaction and answer the questions based on it

    Which of the following compound give benzoic acid on KMnO4 oxidation

    Observe the following sequence of reaction and answer the questions based on it

    Which of the following compound give benzoic acid on KMnO4 oxidation

    chemistry-General
    General
    chemistry-

    Observe the following sequence of reaction and answer the questions based on it

    Which of the following statement is not correct

    Observe the following sequence of reaction and answer the questions based on it

    Which of the following statement is not correct

    chemistry-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.